The probability distribution of a random variable X is given below
X = x | 0 | 1 | 2 | 3 |
P(X) = x |
Then the variance of X is
1
2
3
4
The probability that an individual suffers a bad reaction from an injection is 0.001. The probability that out of 2000 individuals exactly three will suffer bad reaction is
A committee of 12 members is to be formed from 9 women and 8 men. The number of committees in which the women are in majority is
2720
2702
2270
2278
In an entrance test there are multiple choice questions. There are four possible answers to each question, of which one is correct. The probability that a student know the answer to a question is 9/10. If he gets the correct answer to a question, then the probability that he was guessing is
There are four machines and it is known that exactly two of them are faulty. They are teste done by one, in a random order till both the faulty machines are identified. Then, the probability that only two tests are need is
A random variable X has the probability distribution given below.
X | 1 | 2 | 3 | 4 | 5 |
P(X = x) | K | 2K | 3K | 2K | K |
Its variance is
A six-faced unbiased die is thrown twice and the sum of the numbers appearing on the upper face is observed to be 7. The probability that the number 3 has appeared atleast once, is
If A, B and C are mutually exclusive and exhaustive events of a random experiment such that P(B) = P(A) and P(C) = P(B), then P(A ∪ C) equals to
The letters of the word 'QUESTION' are arranged in a row at random. The probability that there are exactly two letters between Q and S is